Question

20. An asteroid was located at a distance of 5R with
respect to earth's centre and moving with a speed
v, at an angle of 37° with the line connecting them,
as shown
vo
37°
R
Earth
If the asteroid just grazes the earth's surface, find
its maximum speed
(1) 5v.
(2) 3v.
(3) 2v
(4) cannot be determined​

Answer 1

Explanation:

Conserving energy between (1) and (2) of Earth and asteroid system

21mv12+(−10RGmMe)=21mv22+(−RGmMe)

Given v1=12Km/s

v1=12000m/s

Me= Mass of earth

From above equation

21m(v22−v12)=(RGMe−10RGme).m

[v12−(12000)2]=59RGMe=59R26Me.R

=5

hope it helps uu